Introduction to Computational Complexity
by Martin Tompa
Number of pages: 85
These are the lecture notes from a graduate course on Computational Complexity taught at the University of Washington. This text adopts some approaches that will appear unconventional. For example, alternating Turing machines are introduced very early, and deterministic and nondeterministic Turing machines treated as special cases. This simplifies many proofs, such as that of Savitch's Theorem, the P-completeness of the circuit value problem, the NP-completeness of the satisfiability problem, and the PSPACE-completeness of the quantified Boolean formula problem.
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by Karl Petersen - University of North Carolina
These notes provide an introduction to the subject of measure-preserving dynamical systems, discussing the dynamical viewpoint; how and from where measure-preserving systems arise; the construction of measures and invariant measures; etc.
This book is intended as an introductory textbook in Computability Theory and Complexity Theory, with an emphasis on Formal Languages. Its target audience is CS and Math students with some background in programming and data structures.
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